The generation circulation method to generalized reed-muller coefficients over GF(3)

Abstract

This paper propose the circulation method to generate GRM coefficient over GF(3). The general method to derive GRM coefficients are obtain RM expansion for the function and expand it for the polarities. The general method has many operations when the number of the variable is increased. Proposed method of this paper simplifies the generation process and reduces a number of operations compare to parallel type because of the cyclic property of polarity. To verify propriety of this method, previous proposed paper is compared in the number of operations.